English

Convex Symmetrization for Anisotropic Elliptic Equations with a lower order term

Analysis of PDEs 2022-10-04 v1

Abstract

We use "generalized" version of total variation, coarea formulas, isoperimetric inequalities to obtain sharp estimates for solutions (and for their gradients) to anisotropic elliptic equations with a lower order term, comparing them with the solutions to the convex symmetrized ones.

Keywords

Cite

@article{arxiv.2008.03754,
  title  = {Convex Symmetrization for Anisotropic Elliptic Equations with a lower order term},
  author = {Gianpaolo Piscitelli},
  journal= {arXiv preprint arXiv:2008.03754},
  year   = {2022}
}

Comments

16 pages